Let's say I wanna solve this problem:
Determine point(s) on y = x^2 +1 that are
closest to (0,2).
So in mathematica:
minDist = (x - 0)^2 + (y - 2)^2;
Minimize[minDist, y == 1 + x^2, {x, y}]
Output will give you: x -> -1/Sqrt[2], y -> 3/2
but x also has another answer: +1/Sqrt[2]. Is this a problem in mathematica or can my code be changed to output the other value of x for the minimum distance?